   Chapter 27, Problem 21PE

Chapter
Section
Textbook Problem

A diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be for 520-nm-wavelength green light?

To determine

At what angle will the first order maximum be for 520 nm wavelength green light?

Explanation

Given info:

A diffraction grating has 2000 lines per centimeter.

Formula used:

For diffraction grating,

dsinθ=mλ

Here, d is the distance between slits, λ is the wavelength of light, m is the order of the maximum and θ is the angle from the original direction of the beam.

Calculation:

We have, d=0.0100m2000=5.00×106m, λ=520 nm, m=1.

Substituting these values in above, relation we get

(5× 10 6m)sinθ=5

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